TY - GEN

T1 - A study of an automorphism on the logistic maps over prime fields

AU - Miyazaki, Takeru

AU - Araki, Shunsuke

AU - Uehara, Satoshi

AU - Nogami, Yasuyuki

PY - 2014/12/8

Y1 - 2014/12/8

N2 - In this paper, we propose a logistic map over prime fields, which is one way to implement the logistic map over real domain into a computer. We describe a definition and some properties for the logistic map over prime fields, and prove an automorphism between two maps with different control values. We also discuss both advantages and disadvantages of the existence for the automorphism, and an aptitude for the map used by the pseudorandom number generators.

AB - In this paper, we propose a logistic map over prime fields, which is one way to implement the logistic map over real domain into a computer. We describe a definition and some properties for the logistic map over prime fields, and prove an automorphism between two maps with different control values. We also discuss both advantages and disadvantages of the existence for the automorphism, and an aptitude for the map used by the pseudorandom number generators.

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M3 - Conference contribution

AN - SCOPUS:84920548990

T3 - Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014

SP - 714

EP - 718

BT - Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 International Symposium on Information Theory and Its Applications, ISITA 2014

Y2 - 26 October 2014 through 29 October 2014

ER -